Of course not. The French are best at helicopter engines. CFM is a cooperation with GE, they only make engines for A320 class aircraft, and while Safran do have the M88 and TP400 engines they import engine metal castings from the US. Lame like heck.France is not even in competition right now..
I doubt it. At least not initially. Chinese design is typically incremental. Adding GTF technology would hugely increase the chance of project failure.Is CJ-2000A going to be a GTF? Major western manufacturers like RR coming up with stuff like Ultrafan, GTF technology has probably matured long enough that reliability won't be a issue like the PW1000G anymore. I fail to see how a conventional turbofan is going to match up with Ultrafan and other upcoming products.
Don't bother yourself too much with the Ultrafan. RR made the biggest prototype they could. There is no aircraft design in Europe big enough. This is a Boeing 777X class engine. And that aircraft already has an engine.
They will probably shrink the Ultrafan so it can fit an existing aircraft. Another 5 years to shrink the engine and more years to make the new aircraft model.